Question

question 7 of 10 what is the approximate area of the circle shown below? 60 cm c a. 188 cm² b. 2827 cm² c. 11,310 cm² d. 94 cm²

Explanation:

Step1: Recall the area formula

The formula for the area of a circle is $A = \pi r^{2}$, where $r$ is the radius of the circle.

Step2: Identify the radius

The diameter of the circle is given as $60\ cm$. The radius $r=\frac{d}{2}$, so $r = \frac{60}{2}=30\ cm$.

Step3: Calculate the area

Substitute $r = 30$ into the area - formula: $A=\pi r^{2}=\pi\times(30)^{2}=900\pi$. Using $\pi\approx 3.14$, we get $A\approx900\times3.14 = 2826\ cm^{2}$, which is closest to $2827\ cm^{2}$.

Answer:

B. $2827\ cm^{2}$